The CP-conserving 2HDM with softly broken \(Z_2\)  symmetry is parametrized by seven real parameters, namely \(\lambda _{1,..,5}\) , \(m_{12}^2\)  and \(\tan \beta \)  [1]}, [2]}. The general scalar potential of two Higgs doublets \(\Phi _1\)  and \(\Phi _2\)  is given by
\( V &=& m_{11}^2 |\Phi _1|^2+ m_{22}^2 |\Phi _2|^2 - m_{12}^2 (\Phi _1^\dagger \Phi _2 + \Phi _1 \Phi _2^\dagger ) \nonumber \\&& + {\lambda _1\over 2} |\Phi _1|^4 + {\lambda _2 \over 2} |\Phi _2|^4+ \lambda _3 |\Phi _1|^2 |\Phi _2|^2 + \lambda _4 |\Phi _1^\dagger \Phi _2|^2 + {\lambda _5 \over 2}\left[ (\Phi _1^\dagger \Phi _2)^2 + (\Phi _1 \Phi _2^\dagger )^2\right],\) 
